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Simplifying 10 + -1a = 3(a + -6) Reorder the terms: 10 + -1a = 3(-6 + a) 10 + -1a = (-6 * 3 + a * 3) 10 + -1a = (-18 + 3a) Solving 10 + -1a = -18 + 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. 10 + -1a + -3a = -18 + 3a + -3a Combine like terms: -1a + -3a = -4a 10 + -4a = -18 + 3a + -3a Combine like terms: 3a + -3a = 0 10 + -4a = -18 + 0 10 + -4a = -18 Add '-10' to each side of the equation. 10 + -10 + -4a = -18 + -10 Combine like terms: 10 + -10 = 0 0 + -4a = -18 + -10 -4a = -18 + -10 Combine like terms: -18 + -10 = -28 -4a = -28 Divide each side by '-4'. a = 7 Simplifying a = 7
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